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9 tháng 9 2017
a) = 53. 52- 53 .5+ 53
= 53 .( 52- 5+1)
=53. 21 mà 21 chia hết cho 7
=) 55 - 54 + 53 chia hết cho 7
b)= 74.72 + 74.7 -74
= 74( 72+ 7-1)
=74. 55 mà 55chia hết cho 11
=)7^6 + 75-74 chia hết cho 11
c)=( 2.3.4)2.27 . (2.27)2.3.4 . ( 2)2.5
= ( 6. 4) 6.9 . ( 6. 9 ) 6.4. 210
= 246. 249. 546.549 . 210
=12966 . 12964.210mà 1296 chia hết cho 72 ( vì 1296 : 72 bằng 18)
=)24^54. 54^24 + 2^10 chia hết cho 72 ^53
12 tháng 2 2022
Bài 1:
a: \(=5^2\left(5^3-5^2+1\right)=5^2\cdot101⋮101\)
b: \(=7^4\left(7^2+7-1\right)=7^4\cdot55⋮11\)
25 tháng 10 2015
a) Ta có : 55 - 54 + 53 = 53(52-5+1) = 53.21 chia hết cho 7
b) Tương tự câu a
27 tháng 12 2017
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28 tháng 12 2017
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17 tháng 7 2016
Câu 3,57-56+55=55.52-55.5+55=55.(52-5+1)=55.21 chia hết cho 21
Câu:4:76+75-74=74.72+74.7-74=74.(72+7-1)=74.55=74.11.5=73.7.11.5=73.77.5 chia hết cho 77
Các câu khác tương tự
B = 5 + 52 + 53 + 54 + ... + 560 (có 60 số; 60 chia hết cho 2)
B = (5 + 52) + (53 + 54) + ... + (559 + 560)
B = 5.(1 + 5) + 53.(1 + 5) + ... + 559.(1 + 5)
B = 5.6 + 53.6 + ... + 559.6
B = 6.(5 + 53 + ... + 559) chia hết cho 6
=> đpcm
Ủng hộ mk nha ^_-